Algebra and Infinite Combinatorics - NALG031
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Last update: T_KA (11.04.2008)
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Last update: T_KA (08.04.2008)
P.C.Eklof, A.H.Mekler, Almost-free Modules (Set-theoretic methods, Revised Ed.) , North-Holland, New York, 2002.
R. Göbel and J. Trlifaj, Approximations and endomorphism algebras of modules, GEM 41, Walter de Gruyter, Berlin 2006. |
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Last update: T_KA (10.05.2004)
1. Extensions of modules, the Ext group, hereditary rings.
2. Non-perfect rings.
3. The solution of the Whitehead problem for countable groups and modules.
4. Diamond and uniformization.
5. Constructions of non-projective Whitehead modules.
6. The solution of the Whitehead problem for regular cardinals.
7. Shelah's compactness theorem and the general solution of the Whitehead problem.
8. New applications in the module theory. |